Matrix Operations

Step 1: First, compute the determinant of matrix : Step 2: Next, find the adjoint of matrix , which is the transpose of the cofactor matrix. The cofactor matrix is: The adjoint of is the transpose of the cofactor matrix: Step 3: Now, compute : Step 4: Finally, compute , where is the identity matrix: Step 5: As we can see, , which verifies the result. Thus, we have verified that: